SOLUTION: Find the indicated probability. In general, the probability that a blood donor has Type A blood is 0.40. Consider 6 randomly chosen blood donors, what is the probability that

Algebra ->  Probability-and-statistics -> SOLUTION: Find the indicated probability. In general, the probability that a blood donor has Type A blood is 0.40. Consider 6 randomly chosen blood donors, what is the probability that      Log On


   

Question 1197244: Find the indicated probability.
In general, the probability that a blood donor has Type A blood is 0.40.
Consider 6 randomly chosen blood donors, what is the probability that exactly half of them have Type A blood?


Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

Half of 6 is 3, so they want you calculate the binomial distribution probability 
for n= 6 trials, p= 0.4 of success for each individual trial independently, k= 3 success trials

    P = C%5B6%5D%5E3%2A0.4%5E3%2A%281-0.4%29%5E3 = 20%2A0.4%5E3%2A0.6%5E3 = 0.2765  (rounded).        ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.